No, "Helice" is "helical" and was never trademarked. See this line and comments by noted French gunsmith "Neltir" on the subject. Larry noted that Verney Caron specifically said that any gun with "Helice" on it did not use the VC patent until that patent expired (when that was exactly is not clear). After the patent expired, people just used it and stuck the word "Helice" on it such that it entered into the gun vocabulary.
https://doublegunshop.com/forums/ubbthreads.php?ubb=showflat&Number=448756&page=5Two Verney Carron guns from today's Naturabuy.Fr. with Helicobloc, Helice Grip and Helice Gripp.
https://www.naturabuy.fr/Fusil-Verney-Carron-HELICE-HELICOBLOC-item-6725412.htmlhttps://www.naturabuy.fr/VERNEY-CARON-A-PLATINES-CAL-12-item-873292.htmlhttps://www.naturabuy.fr/VERNEY-CARRON-A-PLATINES-CAL-12-item-6432295.html